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Simplifying 8m + -34 = 6(m + -8) Reorder the terms: -34 + 8m = 6(m + -8) Reorder the terms: -34 + 8m = 6(-8 + m) -34 + 8m = (-8 * 6 + m * 6) -34 + 8m = (-48 + 6m) Solving -34 + 8m = -48 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. -34 + 8m + -6m = -48 + 6m + -6m Combine like terms: 8m + -6m = 2m -34 + 2m = -48 + 6m + -6m Combine like terms: 6m + -6m = 0 -34 + 2m = -48 + 0 -34 + 2m = -48 Add '34' to each side of the equation. -34 + 34 + 2m = -48 + 34 Combine like terms: -34 + 34 = 0 0 + 2m = -48 + 34 2m = -48 + 34 Combine like terms: -48 + 34 = -14 2m = -14 Divide each side by '2'. m = -7 Simplifying m = -7
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